165976720 has 120 divisors (see below), whose sum is σ = 483578424. Its totient is φ = 52512768.

The previous prime is 165976711. The next prime is 165976721. The reversal of 165976720 is 27679561.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 149035264 = 4116^2 + 12208^2 .

It is not an unprimeable number, because it can be changed into a prime (165976721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49332 + ... + 52588.

Almost surely, 2^165976720 is an apocalyptic number.

165976720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241789212).

165976720 is an abundant number, since it is smaller than the sum of its proper divisors (317601704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165976720 is a wasteful number, since it uses less digits than its factorization.

165976720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 165976720 is about 12883.1952558362. The cubic root of 165976720 is about 549.5607732965.

The spelling of 165976720 in words is "one hundred sixty-five million, nine hundred seventy-six thousand, seven hundred twenty".